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Finding the Third Proportional to 219,546 and 456,318

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Solution

The third proportional to 219,546 and 456,318 is: 948,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,546 : 456,318 = 456,318 : x
  2. Step 2: Convert to fraction form
    219,546/456,318 = 456,318/x
  3. Step 3: Cross multiply
    219,546x = 456,318 × 456,318
  4. Step 4: Simplify right side
    219,546x = 208,226,117,124
  5. Step 5: Solve for x
    x = 208,226,117,124/219,546
  6. Step 6: Final answer
    x = 948,439.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.